What is the Least Common Multiple of 930 and 945?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 930 and 945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 930 and 945, than apply into the LCM equation.

GCF(930,945) = 15
LCM(930,945) = ( 930 × 945) / 15
LCM(930,945) = 878850 / 15
LCM(930,945) = 58590

Least Common Multiple (LCM) of 930 and 945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 930 and 945. First we will calculate the prime factors of 930 and 945.

Prime Factorization of 930

Prime Factorization of 945

Now multiplying the highest exponent prime factors to calculate the LCM of 930 and 945.

LCM(930,945) = 2¹ × 3³ × 5¹ × 31¹ × 7¹
LCM(930,945) = 58590